Higher Hochschild homology is not a stable invariant
K-Theory and Homology
2016-12-16 v1 Commutative Algebra
Algebraic Topology
Abstract
Higher Hochschild homology is the analog of the homology of spaces, where the context for the coefficients -- which usually is that of abelian groups -- is that of commutative algebras. Two spaces that are equivalent after a suspension have the same homology. We show that this is not the case for higher Hochschild homology, providing a counterexample to a behavior so far observed in stable homotopy theory.
Keywords
Cite
@article{arxiv.1612.05175,
title = {Higher Hochschild homology is not a stable invariant},
author = {Bjørn Ian Dundas and Andrea Tenti},
journal= {arXiv preprint arXiv:1612.05175},
year = {2016}
}